Singular element construction using a mapping technique

DOI10.1002/nme.1620240707zbMath0613.73101OpenAlexW2113802894MaRDI QIDQ4720920

George J. Tsamasphyros

Publication date: 1987

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620240707

zbMATH Keywords

singular stress fieldinverse mappingsingular elementConformal mappingcrack-tip mapped elementparent elementsproduct elements

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Brittle damage (74R05)

Related Items

Integration pointwise pollution error estimates in the finite element method in one dimension, The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities, The singular finite element method for some elliptic boundary value problem with interface, Discrete boundary conditions for elasticity problems with singularities., The direct method of lines for the numerical solutions of interface problem, The \(p\)-version of the finite element method for the elliptic boundary value problems with interfaces, The numerical methods for oscillating singularities in elliptic boundary value problems, Discrete boundary conditions for problems with interface, A finite element method for Stokes equation using discrete singularity expansion, Methods for combination of finite element and singular integral equation methods